Josh can paint a whole room in m hours while Kevin can paint a whole room in n hours. How many parts of the room can they paint in one hour if both of them worked together? Express in terms of m and n.​

Answers

Answer 1
Answer: (m+n)/(mn)

Work Shown:

Josh:

1 room = m hours

1/m room = 1 hour

Kevin:

1 room = n hours

1/n room = 1 hour

We see that the rates for Josh and Kevin are 1/m and 1/n respectively. This is the amount of a room they paint in one hour. Combine the fractions

1/m + 1/n = n/(mn) + m/(mn) = (n+m)/(mn) = (m+n)/(mn)

The expression (m+n)/(mn) represents how much of the room they get painted in 1 hour. This is if they work together and it assumes neither worker slows the other one down.


Related Questions

An oblique cone has a radius of 5 units and a height of 9 units. What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. A)117.8 cubic units B)141.3 cubic units C)235.5 cubic units D)282.6 cubic units

Answers

Answer:

Option (C) 235.5 cubic units

Step-by-step explanation:

Data obtained from the question include:

Radius (r) = 5 units

Height (h) = 9 units

Pi (π) = 3.14

Volume (V) =..?

The formula for calculating the volume of an oblique cone is the same as the formula for calculating the right cone. The formula is given below:

V = 1/3πr²h

With the above formula, we can obtain the volume of the oblique cone as follow:

V = 1/3πr²h

V = 1/3 x 3.14 x 5² x 9

V = 3.14 x 25 x 3

V = 235.5 cubic units.

Therefore, the volume of the oblique cone is 235.5 cubic units.

(5x – 3y) (3x + 4y)​

Answers

Answer:

[tex]15 {x}^{2} + 11xy - 12 {y}^{2} [/tex]

Solution,

( 5x - 3y) ( 3x +4y)

Multiply each terms in the first parentheses by each term in the second paranthesis.

5x * 3x + 5x * 4y - 3y * 3x - 3y * 4y

Calculate the product

15x^2 + 20xy -9xy -12y^2

Collect like terms and simplify

15x^2 + 11xy -12y^2

Hope this helps...

Good luck on your assignment...

Answer:

[tex]\boxed{\red{15 {x}^{2} + 11xy - 12 {y}^{2}}} [/tex]

Step-by-step explanation:

[tex]\blue{(5x - 3y)(3x + 4y)} \\ \blue{5x(3x + 4y) - 3y(3x + 4y)} \\ \blue{15 {x}^{2} + 20xy - 9xy - 12 {y}^{2} } \\ \pink{= 15 {x}^{2} + 11xy - 12 {y}^{2} }[/tex]

SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/

Answers

Answer:

Step-by-step explanation:

First let's find the value of x :

We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2

the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2  =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distance

Let's find the hypotenuse :

The pythagorian theorem :

h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distance

A) Given the area of a triangle is

B•h/2

B= x and H= 2x

Therefore 2x • x /2 = 400

2x^2 = 800

x^2 = 400

x = - or + 20

However since it’s the area it cannot be negative therefore the x value is 20

So the height is 40 (2x) while the base is 20 (x)

B) Given that the base is 20 and the height is 40, you can use Pythagoras Theorem where:

a^2 + b^2 = c^2

So 20^2 + 40^2 = 400 + 1600 = 2000

C^2 = 2000

C = square root 2000 ( insert in calculator and round up)

That gives you the hypotenuse.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

There are no restrictions as to what x can be in this function

In the function given, it can take any x variable without it causing any problems in the function when solved.

So, any value can be x (all real numbers)

Best of Luck!

HELP WITH MATH PLS!!!

Answers

Answer:

Option A, y=8

Step-by-step explanation:

If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)

Also,

If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8

Hope that helps!!

What is 5d - 10 = 20​

Answers

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20​

Add 10 to each side

5d - 10+10 = 20+10

5d = 30

Divide by 5

5d/5 = 30/5

d = 6​

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20

Add 10 to both sides of the equation

5d = 30

Divide both sides of the equation by 5

d = 6

Hope this helps :)

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

What is the product? [ 4 2 ] x [ -2 5 7 -1 ]​

Answers

Answer:

The fourth option is correct  [6  18]

Step-by-step explanation:

This problem has to do with matrix multiplication.

we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix

=[4*-2+2*7] and [4*5+2*-1]

=[-8+14] and [20+-2]

=[6  18]

Answer:

c. (6,18)

Step-by-step explanation:

0.6y + 0.8 = 0.28y + 1.12

Answers

Answer:

y = 1

Step-by-step explanation:

[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]

Move the variable to L.H.S and change its sign:

[tex]0.6y - 0.28y + 0.8 =1.12[/tex]

Move the constant to R.H.S and change its sign:

[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]

Calculate

[tex]0.32y = 0.32[/tex]

Divide both sides of the equation by 0.32

[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]

Calculate

[tex]y = 1[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~

0.6y + 0.8 = 0.28y + 1.12 =

[tex]y = 1[/tex]

~~~~~~~~~~~~~~~~~`~~~

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you. Brainliest would be nice!

☆_________________❤︎_________________☆

HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1

Answers

Answer:

arc m AE = 120

Step-by-step explanation:

∠C = 1/2 (AE-BD)

We can fill most of that in with the info we were given:

36= 1/2(AE-48)

Multiply both sides by 2 to get

72 = AE - 48 so  

AE = 120°

What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2? 2 -7/4 8 19/2

Answers

Answer:

Answer=8

Step-by-step explanation:

Three less than the quotient of 10 and a number increased by 6

Quotient of ten and a number=10/n

(10/n-3)+6

Let n=2

(10/2-3)+6

(5-3)+6

=2+6

=8

The answer is 8

Answer:

8

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

What is the equation of the line that passes through the point (-1,-5) and has a
slope of -1?

Answers

Answer:

y = -x -7

Step-by-step explanation:

-5 = -1(-1) + b

-7 = b

y = -x -7

Answer:

y=−x−6

Step-by-step explanation:

The y-intercept is b=y1 −m⋅x1

b=−5−(−1)x(−1)=−6.

so  y=mx+b.

y=−x−6.

Answer:

The slope of the line is m=−1.

The equation of the line in the slope-intercept form is y=−x−6.

plz answer this one clip is down below will mark brainiest if get it right thank you

Answers

Answer:

Third option is correct.

Step-by-step explanation:

Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.

Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.

Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.

What two numbers multiply to 1/4 and add to -1?

Answers

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

what is the (Highest Common Factor) HCF of 77, 91 and 143. Also give its index notation

Answers

Answer:

Hello!

____________________

77 = 1 x 7 x 11

91 = 1 x 7 x 13

143 = 1 x 11 x 13

Step-by-step explanation: There are no HCF's except 1. So 1 is the highest common factor. HCF ( 77, 91 143 ) = 1

Hope this helped you!

Answer:

HCF = 1

Step-by-step explanation:

Factors of 77 = 1,7,11,77

Factors of 91 = 1, 7, 13, 91

Factors of 143 = 1, 11, 13, 143

The Highest factor which is common in all of the factors is 1.

Index notation = [tex]1^1[/tex]

Find the length of side a

Answers

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?

Answers

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

based on the function h(t), what will be the account value five years after the account is opened?

Answers

Answer:

Option B

Step-by-step explanation:

f(t) = 5000

g(t) = 250t

h(t) = f(t) + g(t) = 5000 + 250t

After 5 years, the amount of money in the account is:

h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$

Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.

Answers

The questions doesn't really specify much here is as much I can say.

Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).

20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.

Best of Luck!

You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.

Answers

It depends. Don’t forget that you make illegal money too plus the money that you ask from your parents. Make this brainliest because it is really smart thi

F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)

Answers

Answer:

(f - g)(x) = -x² + 2x + 8

Step-by-step explanation:

Step 1: Plug in variables

2x + 1 - (x² - 7)

Step 2: Distribute the negative

2x + 1 - x² + 7

Step 3: Combine like terms

-x² + 2x + 8

Answer:

  -x^2 +2x +8

Step-by-step explanation:

F(x) = 2x+1

g(x) =x^2-7

(f-g) (x) =2x+1  - ( x^2 -7)

   Distribute the minus sign

           = 2x+1 -x^2 +7

           -x^2 +2x +8

Twice the difference of a number and 5 is equal to three times the sum of the number and 2. Find the number.

Answers

Answer:

The number is - 16

Step-by-step explanation:

Let the number be x

Twice the difference of a number and 5 is written as

2( x - 5)

three times the sum of the number and 2 is written as

3( x + 2)

Equate them

We have

2(x - 5) = 3(x + 2)

Expand

2x - 10 = 3x + 6

Group like terms

2x - 3x = 16 + 10

- x = 16

Multiply through by - 1

x = - 16

Hope this helps you

Multiply. (5x+7)^2 :)

Answers

Answer:

The answer is B.

Step-by-step explanation:

You can expand it in a simplier way using :

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

So for this question :

[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]

Answer:

B. 25x^2+70x+49

Step-by-step explanation:

To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).

So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.

PLEASE HELP!!!

Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
The standard deviation is about $27.
If a sixth skateboard is added to the sample that has a price of $450, what
happens to the standard deviation?

Answers

Answer:

standard deviation=143.527

C

Step-by-step explanation:

75, 82, 100, 120, 140.

if we add 450

75, 82, 100, 120, 140,450

standard deviation=143.527

find the mean=sum /count=967/6=161.167

then find the  √square difference between each sample and the mean, add up the differences²/6-1

find the square root of the differences=143.527

Answer:

C-the new standard deviation is greater the $27

. (43 x 2) x 5 = 43 x (2 x 5)
what property is this

Answers

Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

:<

If f(x)= x-6 and g(x)=x2(x+3), find g(x) x f(x)

Answers

Answer:

x^4 -3x^3 - 18x^2

Step-by-step explanation:

f(x)= x-6

g(x)=x^2(x+3),

g(x) * f(x) = (x-6) * x^2(x+3)

                = x^2 ( x-6) ( x+3)

FOIL

                = x^2 ( x^2 +3x-6x-18)

 Combine like terms

                = x^2 ( x^2 -3x-18)

   Distribute

               = x^4 -3x^3 - 18x^2

Answer:

x⁴ - 3x³ - 18x²

Step-by-step explanation:

g(x) × f(x)

(x²(x + 3)) × (x - 6)

Expand brackets.

(x³ + 3x²)(x - 6)

x³(x - 6) + 3x²(x - 6)

x⁴ - 6x³ + 3x³ - 18x²

Combine like terms.

x⁴ - 3x³ - 18x²

What is the equation of the following line? Be sure to scroll down first to see
all answer options

Answers

Answer:

B. -1/3x

Step-by-step explanation:

Start with

y = mx + b

The y-intercept is 0, so we have

y = mx

To find m, the slope, start at (0, 0).

slope = m = rise/run

Go up 1 unit and left 3 units. Rise = 1; run = -3.

m = 1/(-3) = -1/3

Now we have

y = -1/3x

Answer: B.

Find the area of the regular polygon.
32

Answers

Answer: 45

Step-by-step explanation: that is correct

What are the three main areas of a machine?

Answers

Answer:

Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.

You can find more of this information on google if youd like.

Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-one pi divided by ten ; negative pi divided by ten eleven pi divided by ten ; negative nine divided by ten twenty-one pi div

Answers

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

Other Questions
According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 65 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.(a) Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. (Enter != for as needed.)H0:Ha:(b) Using the sample from the 60 bottles, what is the test statistic? (Round your answer to three decimal places.)Using the sample from the 60 bottles, what is the p-value? (Round your answer to four decimal places.)p-value =(c) At = 0.05, what is your conclusion?Do not reject H0. We can conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.Reject H0. We can conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.Reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.(d) Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Use = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic test statistic State your conclusion.Do not reject H0. We can conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.Reject H0. We can conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.Reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Can someone read and help please the two rectangular similar no the ratios of corresponding sides are not equal yes the lengths of the corresponding sides form equal ratios no. the figures are facing different directions yes they are both rectangles Qu significa, segn tu propia opinin la frase llevar la pregunta a la mxima expresin, preguntar el porqu del porqu del porqu del porqu y as, al infinito? The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance? A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.What is the input if the motor delivers 10.75 hp. ( Round your answer to 1decimal place.) What was the result of Huayna Capac's military campaigns in the north? Samatha received $500 as a graduation present and decides to invest it in an account that iscompounded continuously. How much will be in the account at the end of 5 years if the interestrate is 3%? What is the solution to the system of equations x+y=10 and x+2y=4 using the linear combination method? What is one reason why a business may want to move entirely online?A. To limit the number of items in its inventoryOB. To double the number of employeesC. To focus on a global marketD. To avoid paying state and local taxes If y 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? Which order pair is it? {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)} HELP ASAP NEED HELPPP Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 40 manufacturing companies. Estimate the mean, median, and standard deviation of advertising expense.Advertising Expenditure ($millions) Number of companies$20 to under $30 930 to under 40 1340 to under 50 2150 to under 60 1860 to under 70 14Total 75 Tyson is a 25 percent partner in the KT Partnership. On January 1, KT makes a proportionate, liquidating distribution of $16,000 cash and land with a $16,000 fair value (inside basis $8,000) to Tyson. KT has no liabilities at the date of the distribution. Tyson's basis in his KT Partnership interest is $20,000. What is the amount and character of Tyson's gain or loss from the distribution Given that f(x) =2x-3 and g(x) =1-x^2 calculate f(g(0)) and f(g(0)) An electron, moving west, enters a magnetic field of a certain strength. Because of this field the electron curves upward. What is the direction of the magnetic field? Select the correct answers. Which two changes might be suggested by a peer reviewer? a topic b spelling c punctuation d theme e tone An evaluation in which the performance level of employees is measured against established standards to make decisions about promotions, compensation, additional training, or termination is called an A. employment assessment. B. a performance appraisal. C. a job specification. D. a job analysis. If a baseball player has a batting average of 0.375, what is the probability that the player will get the following number of hits in the next four times at bat?A. Exactly 2 hits(Round to 3 decimal places as needed)B. At least 2 hits (Round to 3 decimal places as needed) According to this table, which instance of sexualintercourse must be reported in California?a 14-year-old with a 17-year-olda 15-year-old with a 13-year-olda 16-year-old with a 14-year-oldO a 17-year-old with a 15-year-old help !